Ratio Scaling Simple Case – UGC NET Question

The ratio 3 : 5 means that for every 3 parts of the smaller number there are 5 parts of the larger number. If 3 parts correspond to 24, then 1 part is 24 ÷ 3 = 8. The larger number has 5 such parts, so it is 5 × 8 = 40. Thus, a pair of numbers 24 and 40 has the ratio 3 : 5.

Option A:
Option A, 30, would make the ratio 24 : 30, which simplifies to 4 : 5, not 3 : 5. So it does not preserve the given ratio between the numbers.

Option B:
Option B, 36, gives a ratio of 24 : 36, which reduces to 2 : 3. This is again different from the required 3 : 5 and does not meet the condition.

Option C:
Option C, 40, is obtained by scaling the ratio correctly: each part is 8 and the larger number gets 5 parts. This respects the original ratio 3 : 5 and maintains the exact proportional relationship.

Option D:
Option D, 45, would produce 24 : 45, which does not simplify to 3 : 5 and therefore cannot be accepted as consistent with the given ratio.